National 5 Maths: The Two Papers, the Grade Boundaries, and Where Marks Go
National 5 Maths is two papers, 90 marks, one without a calculator. The 2025 grade boundaries, the pass rate, and what the non-calculator paper really tests.
Written by the EduSCOT editor
Went through the Scottish college-to-university route himself — Stow College, then engineering at Glasgow Caledonian — and runs EduSCOT and MoneySCOT.
National 5 Maths is the qualification most Scottish pupils' next three years hinge on, and it is the one with the widest spread of outcomes in the whole National 5 diet. In 2025, 34,846 candidates sat it. Just under 40% came away with an A. Just under 19% came away with nothing at all.
Both those numbers are true at once, and they are the honest summary of the course: it rewards fluency very well and punishes gaps very hard.
The two papers
There is no coursework, no assignment and no folio. The whole grade comes from two papers sat on the same day:
| Component | Marks | Duration | Calculator |
|---|---|---|---|
| Paper 1 | 40 | 1 hour | No |
| Paper 2 | 50 | 1 hour 30 minutes | Yes |
| Total | 90 |
The course is 24 SCQF credit points at SCQF level 5, with a notional 160 hours of learning — the same weighting as every other National 5.
Paper 1 is the one that decides most grades, and not because it is harder. It is 44% of the marks, it comes first, and it tests the things that cannot be rescued by a calculator: surds, the laws of indices, scientific notation, rounding to significant figures, algebraic manipulation, and the exact-value trigonometry. A pupil who has quietly leaned on a calculator through S3 and S4 meets that fact for the first time in an exam hall.
The 2025 grade boundaries, and what they tell you
| Grade | Minimum mark (2025) | % of 90 | Candidates | Share |
|---|---|---|---|---|
| A | 64 | 71% | 13,809 | 39.6% |
| B | 55 | 61% | 5,516 | 15.8% |
| C | 47 | 52% | 4,834 | 13.9% |
| D | 38 | 42% | 4,246 | 12.2% |
| No award | — | — | 6,441 | 18.5% |
A pass at C is a little over half marks. That is the single most useful fact for a pupil in the run-up: the exam is not asking for near-perfection, it is asking you to reliably finish the questions you can do. Cumulatively, 69.3% got a C or better.
Boundaries move each year. SQA sets them after marking, once it can see how the papers actually performed, so a paper that ran hard gets slightly lower boundaries. Do not revise to a number — but the pattern has been stable enough for years that "a bit over half for a C, around 70% for an A" is a fair working model.
Where the marks actually go
The specification is explicit about the skills sampled, and they cluster into four blocks: numerical (surds, indices, scientific notation, rounding), algebraic, geometric and trigonometric, and statistical. The examiner's phrasing is worth reading as a pupil rather than a teacher: the course asks you to "select and apply" skills and to "select a strategy to solve a problem".
That word select is where marks are lost. Most National 5 questions do not tell you which method to use. A pupil who knows six techniques but cannot tell which one a question is asking for will lose marks on questions they could have done — and that is a revision problem with a specific fix: past papers by question type rather than by topic, so the practice includes choosing.
The honest read on the no-award rate
18.5% is high, and it is worth being clear about what it usually is not. It is rarely a pupil who could not understand the material. It is far more often one of two things: a pupil presented for National 5 who was still consolidating National 4, or a pupil whose algebra never became automatic and who therefore ran out of time rather than out of knowledge.
Both are visible long before May. A prelim that comes back with unfinished papers rather than wrong answers is a fluency problem, and fluency responds to volume — which is what makes past papers the highest-value revision for this subject specifically. The National 5 revision guide for parents covers how to structure that without it becoming a fight.
If you are choosing subjects
National 5 Maths is effectively compulsory in most Scottish schools and is a stated entry requirement for a large share of college and university courses, so the real choice is usually not whether but which — Mathematics or Applications of Mathematics. Mathematics is the one that leads to Higher Maths and is expected by science, engineering, computing, economics and medicine routes. Choosing National 5 subjects covers how those decisions interact across the column structure, and Higher Maths covers what the step up actually involves.
Frequently asked questions
It is the hardest of the big National 5 subjects to fail-proof, and the numbers show it. In 2025, 34,846 candidates sat it and 18.5% came away with no award — roughly one in five, which is a higher no-award rate than National 5 Physics, Chemistry or Biology. But the top end is generous: 39.6% got an A, the largest A share of any of the core sciences and maths at this level. So it splits. Pupils who are fluent with algebra find it very passable; pupils who are still shaky on National 4 algebra find it punishing, because almost every topic is built on rearranging something.
For 2025 the minimum marks were A 64, B 55, C 47 and D 38, out of a total of 90 across the two papers. That puts a C at just over half marks and an A at about 71%. Boundaries move a little every year — SQA sets them after marking, to account for how hard that year's papers turned out to be — so treat these as the shape rather than a fixed target. The pattern is stable: a C has sat near half marks for years.
Two, sat on the same day. Paper 1 is the non-calculator paper: 40 marks, 1 hour. Paper 2 allows a calculator: 50 marks, 1 hour 30 minutes. That is 90 marks in total and there is no assignment or coursework component, unlike the National 5 sciences. Everything rests on the two exams.
In practice yes, and schools rarely allow the jump without it. The bigger point is what a National 5 A means for Higher: Higher Maths assumes the National 5 algebra is automatic rather than recalled, so pupils who scraped a C often struggle with the pace rather than the content. If a C is the likely outcome and Higher Maths is the goal, a year of Applications of Mathematics or a resit is usually a better route than pushing straight on.
Everything that can be done by hand: surds and indices, scientific notation, rounding to significant figures, algebraic manipulation, straight-line equations, factorising, and the trigonometry and geometry that resolve to exact values. The skills the specification names first — working with surds, simplifying using the laws of indices, calculations using scientific notation — are precisely the ones that only appear on Paper 1. It is 40 of the 90 marks, so a pupil who relies on the calculator has capped themselves at 56% before the exam starts.
Sources
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